Title

Stability Analysis Of Fluid Flow Over A Nonlinearly Stretching Sheet

Keywords

Boundary layer flow; Stability analysis; Stretching sheet

Abstract

We discuss the stability of solutions to a class of nonlinear third-order ordinary differential equations arising in the viscous flow over a nonlinearly stretching sheet. In particular, we consider solutions over the semi-infinite interval [0, ∞). These results complement the available existence and uniqueness results in the literature. We find that, in general, there is one stable solution branch and one unstable solution branch. Furthermore, it is observed that the stable solution becomes more stable with an increase in the nonlinearity due to the stretching sheet, while the unstable solution branch becomes more unstable given such an increase in the nonlinearity. The stable solution is the physically meaningful solution. © 2010 Springer-Verlag.

Publication Date

8-1-2011

Publication Title

Archive of Applied Mechanics

Volume

81

Issue

8

Number of Pages

1087-1091

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00419-010-0423-x

Socpus ID

79959497357 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/79959497357

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